Properties

Label 546.2.bu.b.71.10
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.10
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(-0.625096 - 1.61532i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.828570 + 0.828570i) q^{5} +(-1.02187 - 1.39849i) q^{6} +(0.258819 - 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.21851 + 2.01946i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(-0.625096 - 1.61532i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.828570 + 0.828570i) q^{5} +(-1.02187 - 1.39849i) q^{6} +(0.258819 - 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.21851 + 2.01946i) q^{9} +(1.01479 + 0.585888i) q^{10} +(-1.25192 - 4.67223i) q^{11} +(-1.34901 - 1.08636i) q^{12} +(0.0707604 - 3.60486i) q^{13} -1.00000i q^{14} +(0.820469 - 1.85634i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.258842 - 0.448327i) q^{17} +(-1.62024 + 2.52484i) q^{18} +(5.50267 + 1.47444i) q^{19} +(1.13185 + 0.303278i) q^{20} +(-1.72206 + 0.185721i) q^{21} +(-2.41852 - 4.18900i) q^{22} +(-2.54064 + 4.40052i) q^{23} +(-1.58421 - 0.700193i) q^{24} -3.62694i q^{25} +(-0.864656 - 3.50034i) q^{26} +(4.64885 + 2.32125i) q^{27} +(-0.258819 - 0.965926i) q^{28} +(1.83703 + 1.06061i) q^{29} +(0.312056 - 2.00544i) q^{30} +(4.11077 - 4.11077i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-6.76456 + 4.94284i) q^{33} +(-0.366058 - 0.366058i) q^{34} +(1.01479 - 0.585888i) q^{35} +(-0.911557 + 2.85816i) q^{36} +(-9.86282 + 2.64273i) q^{37} +5.69678 q^{38} +(-5.86723 + 2.13908i) q^{39} +1.17178 q^{40} +(-6.46664 + 1.73273i) q^{41} +(-1.61532 + 0.625096i) q^{42} +(-0.253885 + 0.146580i) q^{43} +(-3.42031 - 3.42031i) q^{44} +(-3.51145 - 0.164928i) q^{45} +(-1.31513 + 4.90814i) q^{46} +(8.54481 - 8.54481i) q^{47} +(-1.71146 - 0.266310i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(-0.938722 - 3.50336i) q^{50} +(-0.562390 + 0.698360i) q^{51} +(-1.74115 - 3.15728i) q^{52} +9.52725i q^{53} +(5.09123 + 1.03894i) q^{54} +(2.83396 - 4.90857i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-1.05801 - 9.81023i) q^{57} +(2.04895 + 0.549013i) q^{58} +(1.53749 + 0.411970i) q^{59} +(-0.217623 - 2.01787i) q^{60} +(5.90367 + 10.2255i) q^{61} +(2.90675 - 5.03464i) q^{62} +(1.37645 + 2.66559i) q^{63} -1.00000i q^{64} +(3.04551 - 2.92825i) q^{65} +(-5.25477 + 6.52521i) q^{66} +(2.99192 + 11.1660i) q^{67} +(-0.448327 - 0.258842i) q^{68} +(8.69639 + 1.35320i) q^{69} +(0.828570 - 0.828570i) q^{70} +(0.487312 - 1.81867i) q^{71} +(-0.140751 + 2.99670i) q^{72} +(4.68386 + 4.68386i) q^{73} +(-8.84276 + 5.10537i) q^{74} +(-5.85867 + 2.26719i) q^{75} +(5.50267 - 1.47444i) q^{76} -4.83704 q^{77} +(-5.11367 + 3.58474i) q^{78} +2.53289 q^{79} +(1.13185 - 0.303278i) q^{80} +(0.843575 - 8.96038i) q^{81} +(-5.79783 + 3.34738i) q^{82} +(11.7215 + 11.7215i) q^{83} +(-1.39849 + 1.02187i) q^{84} +(0.157002 - 0.585939i) q^{85} +(-0.207296 + 0.207296i) q^{86} +(0.564904 - 3.63038i) q^{87} +(-4.18900 - 2.41852i) q^{88} +(-0.717827 - 2.67897i) q^{89} +(-3.43449 + 0.749523i) q^{90} +(-3.46371 - 1.00135i) q^{91} +5.08128i q^{92} +(-9.20983 - 4.07058i) q^{93} +(6.04209 - 10.4652i) q^{94} +(3.33767 + 5.78102i) q^{95} +(-1.72206 + 0.185721i) q^{96} +(3.95229 + 1.05901i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(12.2128 + 7.83718i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) −0.625096 1.61532i −0.360899 0.932605i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 0.828570 + 0.828570i 0.370548 + 0.370548i 0.867677 0.497129i \(-0.165612\pi\)
−0.497129 + 0.867677i \(0.665612\pi\)
\(6\) −1.02187 1.39849i −0.417177 0.570932i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.21851 + 2.01946i −0.739503 + 0.673153i
\(10\) 1.01479 + 0.585888i 0.320904 + 0.185274i
\(11\) −1.25192 4.67223i −0.377468 1.40873i −0.849705 0.527258i \(-0.823220\pi\)
0.472238 0.881471i \(-0.343446\pi\)
\(12\) −1.34901 1.08636i −0.389425 0.313605i
\(13\) 0.0707604 3.60486i 0.0196254 0.999807i
\(14\) 1.00000i 0.267261i
\(15\) 0.820469 1.85634i 0.211844 0.479305i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −0.258842 0.448327i −0.0627784 0.108735i 0.832928 0.553381i \(-0.186663\pi\)
−0.895706 + 0.444646i \(0.853329\pi\)
\(18\) −1.62024 + 2.52484i −0.381895 + 0.595110i
\(19\) 5.50267 + 1.47444i 1.26240 + 0.338259i 0.827114 0.562034i \(-0.189981\pi\)
0.435285 + 0.900293i \(0.356648\pi\)
\(20\) 1.13185 + 0.303278i 0.253089 + 0.0678150i
\(21\) −1.72206 + 0.185721i −0.375785 + 0.0405276i
\(22\) −2.41852 4.18900i −0.515631 0.893098i
\(23\) −2.54064 + 4.40052i −0.529760 + 0.917572i 0.469637 + 0.882860i \(0.344385\pi\)
−0.999397 + 0.0347123i \(0.988949\pi\)
\(24\) −1.58421 0.700193i −0.323376 0.142926i
\(25\) 3.62694i 0.725389i
\(26\) −0.864656 3.50034i −0.169573 0.686473i
\(27\) 4.64885 + 2.32125i 0.894672 + 0.446724i
\(28\) −0.258819 0.965926i −0.0489122 0.182543i
\(29\) 1.83703 + 1.06061i 0.341129 + 0.196951i 0.660771 0.750588i \(-0.270229\pi\)
−0.319642 + 0.947538i \(0.603563\pi\)
\(30\) 0.312056 2.00544i 0.0569734 0.366142i
\(31\) 4.11077 4.11077i 0.738316 0.738316i −0.233936 0.972252i \(-0.575161\pi\)
0.972252 + 0.233936i \(0.0751607\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) −6.76456 + 4.94284i −1.17756 + 0.860438i
\(34\) −0.366058 0.366058i −0.0627784 0.0627784i
\(35\) 1.01479 0.585888i 0.171530 0.0990331i
\(36\) −0.911557 + 2.85816i −0.151926 + 0.476360i
\(37\) −9.86282 + 2.64273i −1.62144 + 0.434463i −0.951423 0.307886i \(-0.900379\pi\)
−0.670014 + 0.742349i \(0.733712\pi\)
\(38\) 5.69678 0.924140
\(39\) −5.86723 + 2.13908i −0.939508 + 0.342527i
\(40\) 1.17178 0.185274
\(41\) −6.46664 + 1.73273i −1.00992 + 0.270607i −0.725596 0.688121i \(-0.758436\pi\)
−0.284324 + 0.958728i \(0.591769\pi\)
\(42\) −1.61532 + 0.625096i −0.249249 + 0.0964544i
\(43\) −0.253885 + 0.146580i −0.0387170 + 0.0223533i −0.519234 0.854632i \(-0.673783\pi\)
0.480517 + 0.876986i \(0.340449\pi\)
\(44\) −3.42031 3.42031i −0.515631 0.515631i
\(45\) −3.51145 0.164928i −0.523457 0.0245861i
\(46\) −1.31513 + 4.90814i −0.193906 + 0.723666i
\(47\) 8.54481 8.54481i 1.24639 1.24639i 0.289086 0.957303i \(-0.406649\pi\)
0.957303 0.289086i \(-0.0933513\pi\)
\(48\) −1.71146 0.266310i −0.247027 0.0384386i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) −0.938722 3.50336i −0.132755 0.495450i
\(51\) −0.562390 + 0.698360i −0.0787504 + 0.0977899i
\(52\) −1.74115 3.15728i −0.241454 0.437836i
\(53\) 9.52725i 1.30867i 0.756206 + 0.654334i \(0.227051\pi\)
−0.756206 + 0.654334i \(0.772949\pi\)
\(54\) 5.09123 + 1.03894i 0.692828 + 0.141382i
\(55\) 2.83396 4.90857i 0.382132 0.661871i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) −1.05801 9.81023i −0.140137 1.29940i
\(58\) 2.04895 + 0.549013i 0.269040 + 0.0720890i
\(59\) 1.53749 + 0.411970i 0.200164 + 0.0536339i 0.357508 0.933910i \(-0.383626\pi\)
−0.157344 + 0.987544i \(0.550293\pi\)
\(60\) −0.217623 2.01787i −0.0280950 0.260506i
\(61\) 5.90367 + 10.2255i 0.755888 + 1.30924i 0.944932 + 0.327267i \(0.106128\pi\)
−0.189044 + 0.981969i \(0.560539\pi\)
\(62\) 2.90675 5.03464i 0.369158 0.639400i
\(63\) 1.37645 + 2.66559i 0.173417 + 0.335833i
\(64\) 1.00000i 0.125000i
\(65\) 3.04551 2.92825i 0.377749 0.363204i
\(66\) −5.25477 + 6.52521i −0.646817 + 0.803198i
\(67\) 2.99192 + 11.1660i 0.365521 + 1.36414i 0.866713 + 0.498807i \(0.166228\pi\)
−0.501192 + 0.865336i \(0.667105\pi\)
\(68\) −0.448327 0.258842i −0.0543677 0.0313892i
\(69\) 8.69639 + 1.35320i 1.04692 + 0.162906i
\(70\) 0.828570 0.828570i 0.0990331 0.0990331i
\(71\) 0.487312 1.81867i 0.0578332 0.215837i −0.930962 0.365117i \(-0.881029\pi\)
0.988795 + 0.149280i \(0.0476957\pi\)
\(72\) −0.140751 + 2.99670i −0.0165876 + 0.353164i
\(73\) 4.68386 + 4.68386i 0.548205 + 0.548205i 0.925921 0.377716i \(-0.123291\pi\)
−0.377716 + 0.925921i \(0.623291\pi\)
\(74\) −8.84276 + 5.10537i −1.02795 + 0.593487i
\(75\) −5.85867 + 2.26719i −0.676501 + 0.261792i
\(76\) 5.50267 1.47444i 0.631199 0.169129i
\(77\) −4.83704 −0.551232
\(78\) −5.11367 + 3.58474i −0.579009 + 0.405892i
\(79\) 2.53289 0.284973 0.142486 0.989797i \(-0.454490\pi\)
0.142486 + 0.989797i \(0.454490\pi\)
\(80\) 1.13185 0.303278i 0.126544 0.0339075i
\(81\) 0.843575 8.96038i 0.0937305 0.995598i
\(82\) −5.79783 + 3.34738i −0.640263 + 0.369656i
\(83\) 11.7215 + 11.7215i 1.28660 + 1.28660i 0.936841 + 0.349756i \(0.113736\pi\)
0.349756 + 0.936841i \(0.386264\pi\)
\(84\) −1.39849 + 1.02187i −0.152588 + 0.111495i
\(85\) 0.157002 0.585939i 0.0170292 0.0635540i
\(86\) −0.207296 + 0.207296i −0.0223533 + 0.0223533i
\(87\) 0.564904 3.63038i 0.0605641 0.389218i
\(88\) −4.18900 2.41852i −0.446549 0.257815i
\(89\) −0.717827 2.67897i −0.0760895 0.283970i 0.917389 0.397993i \(-0.130293\pi\)
−0.993478 + 0.114023i \(0.963626\pi\)
\(90\) −3.43449 + 0.749523i −0.362027 + 0.0790066i
\(91\) −3.46371 1.00135i −0.363095 0.104971i
\(92\) 5.08128i 0.529760i
\(93\) −9.20983 4.07058i −0.955015 0.422099i
\(94\) 6.04209 10.4652i 0.623194 1.07940i
\(95\) 3.33767 + 5.78102i 0.342438 + 0.593120i
\(96\) −1.72206 + 0.185721i −0.175758 + 0.0189551i
\(97\) 3.95229 + 1.05901i 0.401294 + 0.107526i 0.453821 0.891093i \(-0.350061\pi\)
−0.0525264 + 0.998620i \(0.516727\pi\)
\(98\) −0.965926 0.258819i −0.0975732 0.0261447i
\(99\) 12.2128 + 7.83718i 1.22743 + 0.787666i
\(100\) −1.81347 3.14102i −0.181347 0.314102i
\(101\) 1.81765 3.14826i 0.180863 0.313264i −0.761312 0.648386i \(-0.775444\pi\)
0.942175 + 0.335122i \(0.108778\pi\)
\(102\) −0.362479 + 0.820121i −0.0358907 + 0.0812041i
\(103\) 13.3619i 1.31658i 0.752763 + 0.658292i \(0.228721\pi\)
−0.752763 + 0.658292i \(0.771279\pi\)
\(104\) −2.49898 2.59905i −0.245046 0.254858i
\(105\) −1.58073 1.27297i −0.154264 0.124229i
\(106\) 2.46583 + 9.20261i 0.239503 + 0.893837i
\(107\) −1.29666 0.748627i −0.125353 0.0723725i 0.436012 0.899941i \(-0.356390\pi\)
−0.561365 + 0.827568i \(0.689724\pi\)
\(108\) 5.18665 0.314167i 0.499085 0.0302308i
\(109\) −9.35366 + 9.35366i −0.895918 + 0.895918i −0.995072 0.0991537i \(-0.968386\pi\)
0.0991537 + 0.995072i \(0.468386\pi\)
\(110\) 1.46697 5.47480i 0.139870 0.522001i
\(111\) 10.4341 + 14.2796i 0.990358 + 1.35536i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) 14.8503 8.57383i 1.39700 0.806558i 0.402922 0.915234i \(-0.367995\pi\)
0.994077 + 0.108676i \(0.0346612\pi\)
\(114\) −3.56103 9.20212i −0.333521 0.861857i
\(115\) −5.75124 + 1.54104i −0.536306 + 0.143703i
\(116\) 2.12122 0.196951
\(117\) 7.12288 + 8.14031i 0.658510 + 0.752572i
\(118\) 1.59173 0.146530
\(119\) −0.500044 + 0.133986i −0.0458390 + 0.0122825i
\(120\) −0.732472 1.89279i −0.0668652 0.172787i
\(121\) −10.7361 + 6.19850i −0.976010 + 0.563500i
\(122\) 8.34905 + 8.34905i 0.755888 + 0.755888i
\(123\) 6.84118 + 9.36256i 0.616849 + 0.844194i
\(124\) 1.50465 5.61541i 0.135121 0.504279i
\(125\) 7.14803 7.14803i 0.639339 0.639339i
\(126\) 2.01946 + 2.21851i 0.179908 + 0.197641i
\(127\) 3.84030 + 2.21720i 0.340771 + 0.196744i 0.660613 0.750727i \(-0.270296\pi\)
−0.319842 + 0.947471i \(0.603630\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) 0.395476 + 0.318478i 0.0348197 + 0.0280404i
\(130\) 2.18385 3.61670i 0.191536 0.317206i
\(131\) 14.2928i 1.24877i −0.781118 0.624384i \(-0.785350\pi\)
0.781118 0.624384i \(-0.214650\pi\)
\(132\) −3.38687 + 7.66290i −0.294789 + 0.666970i
\(133\) 2.84839 4.93356i 0.246987 0.427794i
\(134\) 5.77994 + 10.0112i 0.499311 + 0.864832i
\(135\) 1.92858 + 5.77521i 0.165986 + 0.497051i
\(136\) −0.500044 0.133986i −0.0428784 0.0114892i
\(137\) 9.27529 + 2.48531i 0.792441 + 0.212334i 0.632263 0.774754i \(-0.282126\pi\)
0.160178 + 0.987088i \(0.448793\pi\)
\(138\) 8.75030 0.943701i 0.744875 0.0803332i
\(139\) −7.81211 13.5310i −0.662615 1.14768i −0.979926 0.199361i \(-0.936113\pi\)
0.317312 0.948321i \(-0.397220\pi\)
\(140\) 0.585888 1.01479i 0.0495165 0.0857652i
\(141\) −19.1439 8.46127i −1.61221 0.712567i
\(142\) 1.88283i 0.158003i
\(143\) −16.9313 + 4.18238i −1.41587 + 0.349748i
\(144\) 0.639647 + 2.93102i 0.0533039 + 0.244251i
\(145\) 0.643320 + 2.40090i 0.0534248 + 0.199384i
\(146\) 5.73654 + 3.31199i 0.474759 + 0.274102i
\(147\) −0.266310 + 1.71146i −0.0219649 + 0.141158i
\(148\) −7.22008 + 7.22008i −0.593487 + 0.593487i
\(149\) 1.69498 6.32574i 0.138858 0.518225i −0.861094 0.508445i \(-0.830220\pi\)
0.999952 0.00977946i \(-0.00311295\pi\)
\(150\) −5.07225 + 3.70627i −0.414147 + 0.302616i
\(151\) −15.6948 15.6948i −1.27722 1.27722i −0.942215 0.335009i \(-0.891260\pi\)
−0.335009 0.942215i \(-0.608740\pi\)
\(152\) 4.93356 2.84839i 0.400164 0.231035i
\(153\) 1.47962 + 0.471898i 0.119620 + 0.0381507i
\(154\) −4.67223 + 1.25192i −0.376499 + 0.100883i
\(155\) 6.81212 0.547163
\(156\) −4.01163 + 4.78611i −0.321187 + 0.383196i
\(157\) −16.3039 −1.30119 −0.650597 0.759423i \(-0.725481\pi\)
−0.650597 + 0.759423i \(0.725481\pi\)
\(158\) 2.44659 0.655561i 0.194640 0.0521537i
\(159\) 15.3895 5.95544i 1.22047 0.472297i
\(160\) 1.01479 0.585888i 0.0802260 0.0463185i
\(161\) 3.59301 + 3.59301i 0.283169 + 0.283169i
\(162\) −1.50429 8.87339i −0.118188 0.697160i
\(163\) −0.906537 + 3.38324i −0.0710055 + 0.264996i −0.992298 0.123874i \(-0.960468\pi\)
0.921292 + 0.388870i \(0.127135\pi\)
\(164\) −4.73391 + 4.73391i −0.369656 + 0.369656i
\(165\) −9.70040 1.50943i −0.755175 0.117509i
\(166\) 14.3558 + 8.28832i 1.11423 + 0.643298i
\(167\) 3.88956 + 14.5160i 0.300983 + 1.12328i 0.936348 + 0.351072i \(0.114183\pi\)
−0.635365 + 0.772212i \(0.719150\pi\)
\(168\) −1.08636 + 1.34901i −0.0838144 + 0.104078i
\(169\) −12.9900 0.510162i −0.999230 0.0392432i
\(170\) 0.606609i 0.0465248i
\(171\) −15.1853 + 7.84136i −1.16125 + 0.599644i
\(172\) −0.146580 + 0.253885i −0.0111766 + 0.0193585i
\(173\) −2.14061 3.70764i −0.162748 0.281887i 0.773106 0.634277i \(-0.218702\pi\)
−0.935853 + 0.352390i \(0.885369\pi\)
\(174\) −0.393956 3.65289i −0.0298657 0.276925i
\(175\) −3.50336 0.938722i −0.264829 0.0709607i
\(176\) −4.67223 1.25192i −0.352182 0.0943669i
\(177\) −0.295617 2.74106i −0.0222200 0.206031i
\(178\) −1.38673 2.40190i −0.103940 0.180030i
\(179\) 5.33092 9.23342i 0.398452 0.690138i −0.595084 0.803664i \(-0.702881\pi\)
0.993535 + 0.113526i \(0.0362144\pi\)
\(180\) −3.12347 + 1.61290i −0.232810 + 0.120218i
\(181\) 13.7234i 1.02005i 0.860160 + 0.510025i \(0.170364\pi\)
−0.860160 + 0.510025i \(0.829636\pi\)
\(182\) −3.60486 0.0707604i −0.267210 0.00524511i
\(183\) 12.8270 15.9282i 0.948200 1.17745i
\(184\) 1.31513 + 4.90814i 0.0969529 + 0.361833i
\(185\) −10.3617 5.98235i −0.761809 0.439831i
\(186\) −9.94955 1.54820i −0.729537 0.113519i
\(187\) −1.77064 + 1.77064i −0.129482 + 0.129482i
\(188\) 3.12762 11.6724i 0.228105 0.851299i
\(189\) 3.44536 3.88966i 0.250613 0.282931i
\(190\) 4.72018 + 4.72018i 0.342438 + 0.342438i
\(191\) −15.7595 + 9.09873i −1.14031 + 0.658361i −0.946509 0.322679i \(-0.895417\pi\)
−0.193806 + 0.981040i \(0.562083\pi\)
\(192\) −1.61532 + 0.625096i −0.116576 + 0.0451124i
\(193\) −0.834130 + 0.223505i −0.0600420 + 0.0160882i −0.288715 0.957415i \(-0.593228\pi\)
0.228673 + 0.973503i \(0.426561\pi\)
\(194\) 4.09171 0.293768
\(195\) −6.63379 3.08903i −0.475055 0.221210i
\(196\) −1.00000 −0.0714286
\(197\) −20.4357 + 5.47572i −1.45598 + 0.390129i −0.898100 0.439791i \(-0.855052\pi\)
−0.557882 + 0.829920i \(0.688386\pi\)
\(198\) 13.8250 + 4.40924i 0.982502 + 0.313351i
\(199\) 1.32932 0.767481i 0.0942327 0.0544053i −0.452143 0.891945i \(-0.649340\pi\)
0.546376 + 0.837540i \(0.316007\pi\)
\(200\) −2.56464 2.56464i −0.181347 0.181347i
\(201\) 16.1664 11.8127i 1.14029 0.833205i
\(202\) 0.940885 3.51143i 0.0662004 0.247063i
\(203\) 1.49993 1.49993i 0.105275 0.105275i
\(204\) −0.137865 + 0.885992i −0.00965245 + 0.0620319i
\(205\) −6.79375 3.92237i −0.474496 0.273951i
\(206\) 3.45830 + 12.9066i 0.240951 + 0.899243i
\(207\) −3.25023 14.8933i −0.225907 1.03516i
\(208\) −3.08652 1.86371i −0.214011 0.129225i
\(209\) 27.5556i 1.90606i
\(210\) −1.85634 0.820469i −0.128100 0.0566178i
\(211\) 5.09230 8.82012i 0.350568 0.607202i −0.635781 0.771870i \(-0.719322\pi\)
0.986349 + 0.164668i \(0.0526551\pi\)
\(212\) 4.76362 + 8.25084i 0.327167 + 0.566670i
\(213\) −3.24235 + 0.349681i −0.222162 + 0.0239597i
\(214\) −1.44624 0.387518i −0.0988626 0.0264902i
\(215\) −0.331813 0.0889091i −0.0226295 0.00606355i
\(216\) 4.92860 1.64587i 0.335349 0.111987i
\(217\) −2.90675 5.03464i −0.197323 0.341774i
\(218\) −6.61404 + 11.4559i −0.447959 + 0.775888i
\(219\) 4.63807 10.4938i 0.313412 0.709105i
\(220\) 5.66793i 0.382132i
\(221\) −1.63447 + 0.901364i −0.109946 + 0.0606323i
\(222\) 13.7744 + 11.0925i 0.924475 + 0.744482i
\(223\) 0.508845 + 1.89903i 0.0340748 + 0.127169i 0.980868 0.194673i \(-0.0623647\pi\)
−0.946793 + 0.321842i \(0.895698\pi\)
\(224\) −0.866025 0.500000i −0.0578638 0.0334077i
\(225\) 7.32446 + 8.04641i 0.488297 + 0.536427i
\(226\) 12.1252 12.1252i 0.806558 0.806558i
\(227\) −1.32281 + 4.93680i −0.0877981 + 0.327667i −0.995829 0.0912354i \(-0.970918\pi\)
0.908031 + 0.418903i \(0.137585\pi\)
\(228\) −5.82138 7.96690i −0.385530 0.527621i
\(229\) 2.40035 + 2.40035i 0.158620 + 0.158620i 0.781955 0.623335i \(-0.214223\pi\)
−0.623335 + 0.781955i \(0.714223\pi\)
\(230\) −5.15642 + 2.97706i −0.340004 + 0.196302i
\(231\) 3.02362 + 7.81337i 0.198939 + 0.514082i
\(232\) 2.04895 0.549013i 0.134520 0.0360445i
\(233\) −8.54899 −0.560063 −0.280032 0.959991i \(-0.590345\pi\)
−0.280032 + 0.959991i \(0.590345\pi\)
\(234\) 8.98704 + 6.01940i 0.587501 + 0.393500i
\(235\) 14.1600 0.923693
\(236\) 1.53749 0.411970i 0.100082 0.0268169i
\(237\) −1.58330 4.09143i −0.102847 0.265767i
\(238\) −0.448327 + 0.258842i −0.0290607 + 0.0167782i
\(239\) 20.0754 + 20.0754i 1.29857 + 1.29857i 0.929338 + 0.369230i \(0.120378\pi\)
0.369230 + 0.929338i \(0.379622\pi\)
\(240\) −1.19740 1.63872i −0.0772921 0.105779i
\(241\) −5.75665 + 21.4841i −0.370818 + 1.38391i 0.488542 + 0.872541i \(0.337529\pi\)
−0.859360 + 0.511371i \(0.829138\pi\)
\(242\) −8.76600 + 8.76600i −0.563500 + 0.563500i
\(243\) −15.0012 + 4.23845i −0.962326 + 0.271897i
\(244\) 10.2255 + 5.90367i 0.654618 + 0.377944i
\(245\) −0.303278 1.13185i −0.0193757 0.0723111i
\(246\) 9.03128 + 7.27291i 0.575814 + 0.463704i
\(247\) 5.70450 19.7320i 0.362969 1.25552i
\(248\) 5.81351i 0.369158i
\(249\) 11.6069 26.2609i 0.735555 1.66422i
\(250\) 5.05442 8.75451i 0.319670 0.553684i
\(251\) −8.15438 14.1238i −0.514700 0.891487i −0.999854 0.0170582i \(-0.994570\pi\)
0.485154 0.874429i \(-0.338763\pi\)
\(252\) 2.52484 + 1.62024i 0.159050 + 0.102066i
\(253\) 23.7409 + 6.36136i 1.49258 + 0.399935i
\(254\) 4.28330 + 1.14771i 0.268758 + 0.0720135i
\(255\) −1.04462 + 0.112660i −0.0654166 + 0.00705504i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 1.49782 2.59430i 0.0934315 0.161828i −0.815521 0.578727i \(-0.803550\pi\)
0.908953 + 0.416899i \(0.136883\pi\)
\(258\) 0.464429 + 0.205269i 0.0289141 + 0.0127795i
\(259\) 10.2107i 0.634465i
\(260\) 1.17336 4.05869i 0.0727689 0.251709i
\(261\) −6.21734 + 1.35684i −0.384844 + 0.0839860i
\(262\) −3.69925 13.8058i −0.228540 0.852924i
\(263\) −3.52497 2.03514i −0.217359 0.125492i 0.387368 0.921925i \(-0.373384\pi\)
−0.604727 + 0.796433i \(0.706718\pi\)
\(264\) −1.28816 + 8.27838i −0.0792805 + 0.509499i
\(265\) −7.89399 + 7.89399i −0.484924 + 0.484924i
\(266\) 1.47444 5.50267i 0.0904034 0.337390i
\(267\) −3.87867 + 2.83413i −0.237371 + 0.173446i
\(268\) 8.17407 + 8.17407i 0.499311 + 0.499311i
\(269\) 2.68484 1.55010i 0.163698 0.0945110i −0.415913 0.909404i \(-0.636538\pi\)
0.579611 + 0.814893i \(0.303205\pi\)
\(270\) 3.35760 + 5.07927i 0.204337 + 0.309115i
\(271\) 14.8204 3.97111i 0.900275 0.241228i 0.221140 0.975242i \(-0.429022\pi\)
0.679134 + 0.734014i \(0.262355\pi\)
\(272\) −0.517684 −0.0313892
\(273\) 0.547644 + 6.22094i 0.0331449 + 0.376508i
\(274\) 9.60248 0.580107
\(275\) −16.9459 + 4.54064i −1.02188 + 0.273811i
\(276\) 8.20789 3.17629i 0.494057 0.191190i
\(277\) −1.05278 + 0.607822i −0.0632553 + 0.0365205i −0.531294 0.847187i \(-0.678294\pi\)
0.468039 + 0.883708i \(0.344961\pi\)
\(278\) −11.0480 11.0480i −0.662615 0.662615i
\(279\) −0.818255 + 17.4213i −0.0489877 + 1.04299i
\(280\) 0.303278 1.13185i 0.0181243 0.0676408i
\(281\) −1.81570 + 1.81570i −0.108316 + 0.108316i −0.759188 0.650872i \(-0.774403\pi\)
0.650872 + 0.759188i \(0.274403\pi\)
\(282\) −20.6815 3.21815i −1.23157 0.191638i
\(283\) −8.30363 4.79410i −0.493600 0.284980i 0.232467 0.972604i \(-0.425320\pi\)
−0.726067 + 0.687624i \(0.758654\pi\)
\(284\) −0.487312 1.81867i −0.0289166 0.107918i
\(285\) 7.25182 9.00510i 0.429561 0.533416i
\(286\) −15.2719 + 8.42201i −0.903046 + 0.498004i
\(287\) 6.69476i 0.395179i
\(288\) 1.37645 + 2.66559i 0.0811084 + 0.157071i
\(289\) 8.36600 14.4903i 0.492118 0.852373i
\(290\) 1.24280 + 2.15259i 0.0729797 + 0.126405i
\(291\) −0.759917 7.04619i −0.0445471 0.413055i
\(292\) 6.39828 + 1.71441i 0.374431 + 0.100328i
\(293\) −20.3586 5.45507i −1.18936 0.318689i −0.390729 0.920506i \(-0.627777\pi\)
−0.798634 + 0.601817i \(0.794444\pi\)
\(294\) 0.185721 + 1.72206i 0.0108315 + 0.100433i
\(295\) 0.932574 + 1.61527i 0.0542966 + 0.0940444i
\(296\) −5.10537 + 8.84276i −0.296744 + 0.513975i
\(297\) 5.02540 24.6265i 0.291603 1.42897i
\(298\) 6.54889i 0.379367i
\(299\) 15.6835 + 9.47003i 0.906998 + 0.547666i
\(300\) −3.94016 + 4.89278i −0.227485 + 0.282485i
\(301\) 0.0758756 + 0.283171i 0.00437339 + 0.0163217i
\(302\) −19.2221 11.0979i −1.10611 0.638612i
\(303\) −6.22165 0.968119i −0.357425 0.0556170i
\(304\) 4.02823 4.02823i 0.231035 0.231035i
\(305\) −3.58090 + 13.3641i −0.205042 + 0.765227i
\(306\) 1.55134 + 0.0728644i 0.0886842 + 0.00416538i
\(307\) −1.05726 1.05726i −0.0603413 0.0603413i 0.676292 0.736633i \(-0.263586\pi\)
−0.736633 + 0.676292i \(0.763586\pi\)
\(308\) −4.18900 + 2.41852i −0.238691 + 0.137808i
\(309\) 21.5837 8.35244i 1.22785 0.475154i
\(310\) 6.58000 1.76311i 0.373719 0.100138i
\(311\) −6.32744 −0.358796 −0.179398 0.983777i \(-0.557415\pi\)
−0.179398 + 0.983777i \(0.557415\pi\)
\(312\) −2.63620 + 5.66131i −0.149245 + 0.320509i
\(313\) −26.7529 −1.51216 −0.756081 0.654478i \(-0.772888\pi\)
−0.756081 + 0.654478i \(0.772888\pi\)
\(314\) −15.7484 + 4.21977i −0.888733 + 0.238135i
\(315\) −1.06814 + 3.34912i −0.0601829 + 0.188701i
\(316\) 2.19355 1.26645i 0.123397 0.0712432i
\(317\) 13.6159 + 13.6159i 0.764748 + 0.764748i 0.977177 0.212429i \(-0.0681374\pi\)
−0.212429 + 0.977177i \(0.568137\pi\)
\(318\) 13.3238 9.73562i 0.747160 0.545947i
\(319\) 2.65560 9.91084i 0.148685 0.554900i
\(320\) 0.828570 0.828570i 0.0463185 0.0463185i
\(321\) −0.398734 + 2.56248i −0.0222552 + 0.143024i
\(322\) 4.40052 + 2.54064i 0.245231 + 0.141584i
\(323\) −0.763291 2.84864i −0.0424707 0.158503i
\(324\) −3.74963 8.18170i −0.208313 0.454539i
\(325\) −13.0746 0.256644i −0.725249 0.0142360i
\(326\) 3.50259i 0.193991i
\(327\) 20.9561 + 9.26221i 1.15887 + 0.512201i
\(328\) −3.34738 + 5.79783i −0.184828 + 0.320132i
\(329\) −6.04209 10.4652i −0.333111 0.576966i
\(330\) −9.76054 + 1.05265i −0.537300 + 0.0579467i
\(331\) −9.03418 2.42070i −0.496564 0.133054i 0.00184113 0.999998i \(-0.499414\pi\)
−0.498405 + 0.866945i \(0.666081\pi\)
\(332\) 16.0118 + 4.29035i 0.878762 + 0.235464i
\(333\) 16.5439 25.7805i 0.906598 1.41276i
\(334\) 7.51405 + 13.0147i 0.411151 + 0.712134i
\(335\) −6.77279 + 11.7308i −0.370037 + 0.640923i
\(336\) −0.700193 + 1.58421i −0.0381987 + 0.0864259i
\(337\) 4.47748i 0.243904i 0.992536 + 0.121952i \(0.0389154\pi\)
−0.992536 + 0.121952i \(0.961085\pi\)
\(338\) −12.6794 + 2.86928i −0.689669 + 0.156068i
\(339\) −23.1323 18.6285i −1.25638 1.01176i
\(340\) −0.157002 0.585939i −0.00851462 0.0317770i
\(341\) −24.3528 14.0601i −1.31878 0.761396i
\(342\) −12.6384 + 11.5044i −0.683405 + 0.622087i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) −0.0758756 + 0.283171i −0.00409094 + 0.0152676i
\(345\) 6.08435 + 8.32679i 0.327570 + 0.448299i
\(346\) −3.02728 3.02728i −0.162748 0.162748i
\(347\) −19.0489 + 10.9979i −1.02260 + 0.590398i −0.914856 0.403781i \(-0.867696\pi\)
−0.107743 + 0.994179i \(0.534363\pi\)
\(348\) −1.32597 3.42645i −0.0710794 0.183677i
\(349\) 34.1495 9.15032i 1.82798 0.489805i 0.830263 0.557371i \(-0.188190\pi\)
0.997715 + 0.0675659i \(0.0215233\pi\)
\(350\) −3.62694 −0.193868
\(351\) 8.69671 16.5942i 0.464196 0.885732i
\(352\) −4.83704 −0.257815
\(353\) 2.94177 0.788246i 0.156575 0.0419541i −0.179680 0.983725i \(-0.557506\pi\)
0.336255 + 0.941771i \(0.390840\pi\)
\(354\) −0.994983 2.57115i −0.0528827 0.136655i
\(355\) 1.91067 1.10313i 0.101408 0.0585478i
\(356\) −1.96114 1.96114i −0.103940 0.103940i
\(357\) 0.529006 + 0.723976i 0.0279980 + 0.0383169i
\(358\) 2.75949 10.2985i 0.145843 0.544295i
\(359\) 8.69884 8.69884i 0.459107 0.459107i −0.439255 0.898362i \(-0.644758\pi\)
0.898362 + 0.439255i \(0.144758\pi\)
\(360\) −2.59960 + 2.36635i −0.137011 + 0.124718i
\(361\) 11.6509 + 6.72666i 0.613206 + 0.354035i
\(362\) 3.55187 + 13.2558i 0.186682 + 0.696707i
\(363\) 16.7236 + 13.4676i 0.877764 + 0.706865i
\(364\) −3.50034 + 0.864656i −0.183468 + 0.0453203i
\(365\) 7.76182i 0.406272i
\(366\) 8.26742 18.7053i 0.432145 0.977744i
\(367\) 7.85537 13.6059i 0.410047 0.710222i −0.584847 0.811143i \(-0.698846\pi\)
0.994894 + 0.100921i \(0.0321789\pi\)
\(368\) 2.54064 + 4.40052i 0.132440 + 0.229393i
\(369\) 10.8471 16.9032i 0.564679 0.879945i
\(370\) −11.5570 3.09669i −0.600820 0.160989i
\(371\) 9.20261 + 2.46583i 0.477776 + 0.128020i
\(372\) −10.0112 + 1.07969i −0.519058 + 0.0559793i
\(373\) −1.05627 1.82952i −0.0546918 0.0947290i 0.837383 0.546616i \(-0.184084\pi\)
−0.892075 + 0.451887i \(0.850751\pi\)
\(374\) −1.25203 + 2.16858i −0.0647409 + 0.112135i
\(375\) −16.0145 7.07814i −0.826988 0.365514i
\(376\) 12.0842i 0.623194i
\(377\) 3.95334 6.54720i 0.203608 0.337198i
\(378\) 2.32125 4.64885i 0.119392 0.239111i
\(379\) −8.89975 33.2143i −0.457150 1.70611i −0.681690 0.731641i \(-0.738755\pi\)
0.224540 0.974465i \(-0.427912\pi\)
\(380\) 5.78102 + 3.33767i 0.296560 + 0.171219i
\(381\) 1.18093 7.58927i 0.0605007 0.388810i
\(382\) −12.8675 + 12.8675i −0.658361 + 0.658361i
\(383\) 7.20127 26.8755i 0.367968 1.37327i −0.495385 0.868673i \(-0.664973\pi\)
0.863353 0.504600i \(-0.168360\pi\)
\(384\) −1.39849 + 1.02187i −0.0713665 + 0.0521472i
\(385\) −4.00783 4.00783i −0.204258 0.204258i
\(386\) −0.747861 + 0.431778i −0.0380651 + 0.0219769i
\(387\) 0.267233 0.837899i 0.0135842 0.0425928i
\(388\) 3.95229 1.05901i 0.200647 0.0537632i
\(389\) 16.0139 0.811938 0.405969 0.913887i \(-0.366934\pi\)
0.405969 + 0.913887i \(0.366934\pi\)
\(390\) −7.20725 1.26682i −0.364953 0.0641481i
\(391\) 2.63050 0.133030
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) −23.0874 + 8.93437i −1.16461 + 0.450679i
\(394\) −18.3221 + 10.5783i −0.923056 + 0.532926i
\(395\) 2.09868 + 2.09868i 0.105596 + 0.105596i
\(396\) 14.4952 + 0.680818i 0.728409 + 0.0342124i
\(397\) −3.61458 + 13.4898i −0.181411 + 0.677034i 0.813960 + 0.580921i \(0.197308\pi\)
−0.995370 + 0.0961128i \(0.969359\pi\)
\(398\) 1.08538 1.08538i 0.0544053 0.0544053i
\(399\) −9.74979 1.51711i −0.488100 0.0759506i
\(400\) −3.14102 1.81347i −0.157051 0.0906736i
\(401\) −6.69859 24.9995i −0.334512 1.24841i −0.904398 0.426691i \(-0.859679\pi\)
0.569886 0.821724i \(-0.306987\pi\)
\(402\) 12.5582 15.5944i 0.626346 0.777777i
\(403\) −14.5279 15.1096i −0.723684 0.752663i
\(404\) 3.63530i 0.180863i
\(405\) 8.12326 6.72534i 0.403648 0.334185i
\(406\) 1.06061 1.83703i 0.0526373 0.0911705i
\(407\) 24.6949 + 42.7728i 1.22408 + 2.12017i
\(408\) 0.0961447 + 0.891485i 0.00475987 + 0.0441351i
\(409\) 7.28579 + 1.95222i 0.360259 + 0.0965311i 0.434408 0.900716i \(-0.356958\pi\)
−0.0741494 + 0.997247i \(0.523624\pi\)
\(410\) −7.57745 2.03037i −0.374223 0.100273i
\(411\) −1.78338 16.5361i −0.0879678 0.815666i
\(412\) 6.68093 + 11.5717i 0.329146 + 0.570097i
\(413\) 0.795864 1.37848i 0.0391619 0.0678304i
\(414\) −6.99415 13.5446i −0.343744 0.665682i
\(415\) 19.4241i 0.953491i
\(416\) −3.46371 1.00135i −0.169822 0.0490955i
\(417\) −16.9735 + 21.0772i −0.831197 + 1.03216i
\(418\) −7.13191 26.6166i −0.348833 1.30186i
\(419\) −14.3943 8.31054i −0.703206 0.405996i 0.105334 0.994437i \(-0.466409\pi\)
−0.808541 + 0.588440i \(0.799742\pi\)
\(420\) −2.00544 0.312056i −0.0978555 0.0152268i
\(421\) −8.80780 + 8.80780i −0.429266 + 0.429266i −0.888378 0.459112i \(-0.848168\pi\)
0.459112 + 0.888378i \(0.348168\pi\)
\(422\) 2.63597 9.83757i 0.128317 0.478885i
\(423\) −1.70086 + 36.2126i −0.0826986 + 1.76072i
\(424\) 6.73678 + 6.73678i 0.327167 + 0.327167i
\(425\) −1.62606 + 0.938805i −0.0788754 + 0.0455387i
\(426\) −3.04137 + 1.17695i −0.147355 + 0.0570233i
\(427\) 11.4050 3.05596i 0.551927 0.147888i
\(428\) −1.49725 −0.0723725
\(429\) 17.3396 + 24.7350i 0.837162 + 1.19422i
\(430\) −0.343518 −0.0165659
\(431\) −18.4277 + 4.93767i −0.887629 + 0.237839i −0.673696 0.739009i \(-0.735294\pi\)
−0.213933 + 0.976848i \(0.568627\pi\)
\(432\) 4.33468 2.86540i 0.208553 0.137862i
\(433\) −17.4264 + 10.0611i −0.837458 + 0.483507i −0.856399 0.516314i \(-0.827304\pi\)
0.0189413 + 0.999821i \(0.493970\pi\)
\(434\) −4.11077 4.11077i −0.197323 0.197323i
\(435\) 3.47609 2.53996i 0.166666 0.121782i
\(436\) −3.42368 + 12.7773i −0.163964 + 0.611924i
\(437\) −20.4686 + 20.4686i −0.979146 + 0.979146i
\(438\) 1.76404 11.3367i 0.0842889 0.541686i
\(439\) 22.2565 + 12.8498i 1.06225 + 0.613288i 0.926052 0.377395i \(-0.123180\pi\)
0.136193 + 0.990682i \(0.456513\pi\)
\(440\) −1.46697 5.47480i −0.0699349 0.261001i
\(441\) 2.93102 0.639647i 0.139572 0.0304594i
\(442\) −1.34549 + 1.29368i −0.0639983 + 0.0615342i
\(443\) 0.0356586i 0.00169419i 1.00000 0.000847095i \(0.000269639\pi\)
−1.00000 0.000847095i \(0.999730\pi\)
\(444\) 16.1760 + 7.14949i 0.767678 + 0.339300i
\(445\) 1.62494 2.81448i 0.0770296 0.133419i
\(446\) 0.983012 + 1.70263i 0.0465470 + 0.0806217i
\(447\) −11.2776 + 1.21627i −0.533413 + 0.0575274i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) 26.1123 + 6.99677i 1.23231 + 0.330198i 0.815480 0.578785i \(-0.196473\pi\)
0.416834 + 0.908982i \(0.363139\pi\)
\(450\) 9.15745 + 5.87653i 0.431686 + 0.277022i
\(451\) 16.1914 + 28.0444i 0.762424 + 1.32056i
\(452\) 8.57383 14.8503i 0.403279 0.698500i
\(453\) −15.5413 + 35.1628i −0.730196 + 1.65209i
\(454\) 5.11095i 0.239869i
\(455\) −2.04023 3.69962i −0.0956477 0.173441i
\(456\) −7.68501 6.18875i −0.359883 0.289815i
\(457\) −8.04660 30.0303i −0.376404 1.40476i −0.851282 0.524708i \(-0.824174\pi\)
0.474878 0.880052i \(-0.342492\pi\)
\(458\) 2.93982 + 1.69731i 0.137369 + 0.0793099i
\(459\) −0.162639 2.68504i −0.00759135 0.125327i
\(460\) −4.21020 + 4.21020i −0.196302 + 0.196302i
\(461\) 4.89115 18.2540i 0.227804 0.850174i −0.753458 0.657496i \(-0.771616\pi\)
0.981262 0.192679i \(-0.0617175\pi\)
\(462\) 4.94284 + 6.76456i 0.229962 + 0.314716i
\(463\) 0.959289 + 0.959289i 0.0445819 + 0.0445819i 0.729046 0.684464i \(-0.239964\pi\)
−0.684464 + 0.729046i \(0.739964\pi\)
\(464\) 1.83703 1.06061i 0.0852822 0.0492377i
\(465\) −4.25823 11.0037i −0.197471 0.510287i
\(466\) −8.25769 + 2.21264i −0.382530 + 0.102499i
\(467\) −28.3194 −1.31046 −0.655232 0.755428i \(-0.727429\pi\)
−0.655232 + 0.755428i \(0.727429\pi\)
\(468\) 10.2387 + 3.48828i 0.473286 + 0.161246i
\(469\) 11.5599 0.533786
\(470\) 13.6775 3.66487i 0.630894 0.169048i
\(471\) 10.1915 + 26.3360i 0.469600 + 1.21350i
\(472\) 1.37848 0.795864i 0.0634496 0.0366326i
\(473\) 1.00270 + 1.00270i 0.0461042 + 0.0461042i
\(474\) −2.58829 3.54223i −0.118884 0.162700i
\(475\) 5.34769 19.9579i 0.245369 0.915730i
\(476\) −0.366058 + 0.366058i −0.0167782 + 0.0167782i
\(477\) −19.2399 21.1363i −0.880934 0.967765i
\(478\) 24.5872 + 14.1954i 1.12459 + 0.649284i
\(479\) 5.48863 + 20.4838i 0.250782 + 0.935930i 0.970389 + 0.241549i \(0.0776553\pi\)
−0.719607 + 0.694382i \(0.755678\pi\)
\(480\) −1.58073 1.27297i −0.0721503 0.0581028i
\(481\) 8.82878 + 35.7410i 0.402558 + 1.62965i
\(482\) 22.2420i 1.01309i
\(483\) 3.55788 8.04983i 0.161889 0.366280i
\(484\) −6.19850 + 10.7361i −0.281750 + 0.488005i
\(485\) 2.39728 + 4.15222i 0.108855 + 0.188542i
\(486\) −13.3930 + 7.97662i −0.607521 + 0.361827i
\(487\) 25.2906 + 6.77660i 1.14603 + 0.307077i 0.781372 0.624066i \(-0.214520\pi\)
0.364655 + 0.931143i \(0.381187\pi\)
\(488\) 11.4050 + 3.05596i 0.516281 + 0.138337i
\(489\) 6.03169 0.650505i 0.272762 0.0294168i
\(490\) −0.585888 1.01479i −0.0264677 0.0458434i
\(491\) −5.30462 + 9.18788i −0.239394 + 0.414643i −0.960541 0.278140i \(-0.910282\pi\)
0.721146 + 0.692783i \(0.243616\pi\)
\(492\) 10.6059 + 4.68762i 0.478152 + 0.211334i
\(493\) 1.09812i 0.0494570i
\(494\) 0.403106 20.5361i 0.0181366 0.923962i
\(495\) 3.62547 + 16.6128i 0.162953 + 0.746689i
\(496\) −1.50465 5.61541i −0.0675606 0.252140i
\(497\) −1.63058 0.941414i −0.0731413 0.0422282i
\(498\) 4.41453 28.3702i 0.197820 1.27130i
\(499\) −23.7488 + 23.7488i −1.06314 + 1.06314i −0.0652762 + 0.997867i \(0.520793\pi\)
−0.997867 + 0.0652762i \(0.979207\pi\)
\(500\) 2.61636 9.76439i 0.117007 0.436677i
\(501\) 21.0167 15.3568i 0.938956 0.686091i
\(502\) −11.5320 11.5320i −0.514700 0.514700i
\(503\) 10.3733 5.98900i 0.462520 0.267036i −0.250583 0.968095i \(-0.580622\pi\)
0.713103 + 0.701059i \(0.247289\pi\)
\(504\) 2.85816 + 0.911557i 0.127312 + 0.0406040i
\(505\) 4.11461 1.10251i 0.183098 0.0490609i
\(506\) 24.5784 1.09264
\(507\) 7.29591 + 21.3019i 0.324023 + 0.946049i
\(508\) 4.43439 0.196744
\(509\) −3.78952 + 1.01540i −0.167967 + 0.0450067i −0.341823 0.939764i \(-0.611044\pi\)
0.173855 + 0.984771i \(0.444378\pi\)
\(510\) −0.979867 + 0.379189i −0.0433892 + 0.0167908i
\(511\) 5.73654 3.31199i 0.253770 0.146514i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 22.1586 + 19.6275i 0.978324 + 0.866574i
\(514\) 0.775329 2.89357i 0.0341983 0.127630i
\(515\) −11.0712 + 11.0712i −0.487857 + 0.487857i
\(516\) 0.501731 + 0.0780718i 0.0220875 + 0.00343692i
\(517\) −50.6207 29.2259i −2.22630 1.28535i
\(518\) 2.64273 + 9.86282i 0.116115 + 0.433347i
\(519\) −4.65094 + 5.77540i −0.204154 + 0.253512i
\(520\) 0.0829152 4.22408i 0.00363607 0.185238i
\(521\) 0.453994i 0.0198899i −0.999951 0.00994493i \(-0.996834\pi\)
0.999951 0.00994493i \(-0.00316562\pi\)
\(522\) −5.65432 + 2.91977i −0.247483 + 0.127795i
\(523\) 3.82939 6.63269i 0.167447 0.290027i −0.770074 0.637954i \(-0.779781\pi\)
0.937522 + 0.347927i \(0.113114\pi\)
\(524\) −7.14640 12.3779i −0.312192 0.540732i
\(525\) 0.673600 + 6.24583i 0.0293983 + 0.272590i
\(526\) −3.93159 1.05347i −0.171425 0.0459333i
\(527\) −2.90701 0.778931i −0.126631 0.0339307i
\(528\) 0.898341 + 8.32970i 0.0390953 + 0.362504i
\(529\) −1.40972 2.44171i −0.0612922 0.106161i
\(530\) −5.58190 + 9.66813i −0.242462 + 0.419957i
\(531\) −4.24290 + 2.19094i −0.184126 + 0.0950788i
\(532\) 5.69678i 0.246987i
\(533\) 5.78866 + 23.4339i 0.250735 + 1.01504i
\(534\) −3.01298 + 3.74143i −0.130385 + 0.161908i
\(535\) −0.454083 1.69466i −0.0196317 0.0732667i
\(536\) 10.0112 + 5.77994i 0.432416 + 0.249656i
\(537\) −18.2473 2.83936i −0.787427 0.122527i
\(538\) 2.19217 2.19217i 0.0945110 0.0945110i
\(539\) −1.25192 + 4.67223i −0.0539240 + 0.201247i
\(540\) 4.55781 + 4.03719i 0.196137 + 0.173733i
\(541\) 13.2203 + 13.2203i 0.568384 + 0.568384i 0.931676 0.363291i \(-0.118347\pi\)
−0.363291 + 0.931676i \(0.618347\pi\)
\(542\) 13.2876 7.67160i 0.570751 0.329523i
\(543\) 22.1676 8.57842i 0.951304 0.368135i
\(544\) −0.500044 + 0.133986i −0.0214392 + 0.00574462i
\(545\) −15.5003 −0.663961
\(546\) 2.13908 + 5.86723i 0.0915442 + 0.251094i
\(547\) −12.2763 −0.524896 −0.262448 0.964946i \(-0.584530\pi\)
−0.262448 + 0.964946i \(0.584530\pi\)
\(548\) 9.27529 2.48531i 0.396221 0.106167i
\(549\) −33.7472 10.7631i −1.44030 0.459356i
\(550\) −15.1933 + 8.77184i −0.647843 + 0.374033i
\(551\) 8.54479 + 8.54479i 0.364020 + 0.364020i
\(552\) 7.10613 5.19242i 0.302457 0.221004i
\(553\) 0.655561 2.44659i 0.0278773 0.104040i
\(554\) −0.859590 + 0.859590i −0.0365205 + 0.0365205i
\(555\) −3.18632 + 20.4770i −0.135252 + 0.869202i
\(556\) −13.5310 7.81211i −0.573841 0.331307i
\(557\) 7.35055 + 27.4326i 0.311453 + 1.16236i 0.927247 + 0.374450i \(0.122169\pi\)
−0.615794 + 0.787907i \(0.711165\pi\)
\(558\) 3.71859 + 17.0395i 0.157421 + 0.721338i
\(559\) 0.510436 + 0.925590i 0.0215891 + 0.0391483i
\(560\) 1.17178i 0.0495165i
\(561\) 3.96696 + 1.75333i 0.167485 + 0.0740254i
\(562\) −1.28389 + 2.22377i −0.0541578 + 0.0938041i
\(563\) 4.58399 + 7.93971i 0.193192 + 0.334619i 0.946306 0.323271i \(-0.104783\pi\)
−0.753114 + 0.657890i \(0.771449\pi\)
\(564\) −20.8098 + 2.24429i −0.876249 + 0.0945016i
\(565\) 19.4085 + 5.20050i 0.816523 + 0.218787i
\(566\) −9.26150 2.48161i −0.389290 0.104310i
\(567\) −8.43673 3.13395i −0.354309 0.131613i
\(568\) −0.941414 1.63058i −0.0395008 0.0684175i
\(569\) 9.38211 16.2503i 0.393319 0.681248i −0.599566 0.800325i \(-0.704660\pi\)
0.992885 + 0.119077i \(0.0379936\pi\)
\(570\) 4.67403 10.5752i 0.195774 0.442945i
\(571\) 40.4283i 1.69187i 0.533285 + 0.845936i \(0.320957\pi\)
−0.533285 + 0.845936i \(0.679043\pi\)
\(572\) −12.5717 + 12.0877i −0.525651 + 0.505412i
\(573\) 24.5485 + 19.7690i 1.02553 + 0.825861i
\(574\) 1.73273 + 6.46664i 0.0723228 + 0.269912i
\(575\) 15.9604 + 9.21476i 0.665596 + 0.384282i
\(576\) 2.01946 + 2.21851i 0.0841441 + 0.0924379i
\(577\) 19.6981 19.6981i 0.820041 0.820041i −0.166073 0.986114i \(-0.553109\pi\)
0.986114 + 0.166073i \(0.0531086\pi\)
\(578\) 4.33056 16.1619i 0.180128 0.672245i
\(579\) 0.882442 + 1.20767i 0.0366731 + 0.0501892i
\(580\) 1.75758 + 1.75758i 0.0729797 + 0.0729797i
\(581\) 14.3558 8.28832i 0.595579 0.343857i
\(582\) −2.55771 6.60942i −0.106021 0.273969i
\(583\) 44.5134 11.9273i 1.84356 0.493980i
\(584\) 6.62398 0.274102
\(585\) −0.843015 + 12.6466i −0.0348544 + 0.522873i
\(586\) −21.0768 −0.870674
\(587\) −6.77509 + 1.81538i −0.279638 + 0.0749288i −0.395912 0.918288i \(-0.629572\pi\)
0.116274 + 0.993217i \(0.462905\pi\)
\(588\) 0.625096 + 1.61532i 0.0257785 + 0.0666146i
\(589\) 28.6813 16.5591i 1.18179 0.682307i
\(590\) 1.31886 + 1.31886i 0.0542966 + 0.0542966i
\(591\) 21.6193 + 29.5873i 0.889299 + 1.21706i
\(592\) −2.64273 + 9.86282i −0.108616 + 0.405359i
\(593\) −11.2191 + 11.2191i −0.460714 + 0.460714i −0.898890 0.438175i \(-0.855625\pi\)
0.438175 + 0.898890i \(0.355625\pi\)
\(594\) −1.51964 25.0880i −0.0623517 1.02937i
\(595\) −0.525339 0.303304i −0.0215368 0.0124343i
\(596\) −1.69498 6.32574i −0.0694290 0.259112i
\(597\) −2.07068 1.66752i −0.0847471 0.0682470i
\(598\) 17.6001 + 5.08817i 0.719721 + 0.208071i
\(599\) 40.3004i 1.64663i −0.567586 0.823314i \(-0.692123\pi\)
0.567586 0.823314i \(-0.307877\pi\)
\(600\) −2.53956 + 5.74585i −0.103677 + 0.234573i
\(601\) −6.18901 + 10.7197i −0.252455 + 0.437265i −0.964201 0.265172i \(-0.914571\pi\)
0.711746 + 0.702437i \(0.247905\pi\)
\(602\) 0.146580 + 0.253885i 0.00597417 + 0.0103476i
\(603\) −29.1869 18.7298i −1.18858 0.762737i
\(604\) −21.4395 5.74469i −0.872360 0.233748i
\(605\) −14.0315 3.75973i −0.570462 0.152855i
\(606\) −6.26022 + 0.675152i −0.254304 + 0.0274262i
\(607\) −19.4537 33.6949i −0.789603 1.36763i −0.926210 0.377007i \(-0.876953\pi\)
0.136607 0.990625i \(-0.456380\pi\)
\(608\) 2.84839 4.93356i 0.115517 0.200082i
\(609\) −3.36047 1.48527i −0.136173 0.0601861i
\(610\) 13.8355i 0.560185i
\(611\) −30.1982 31.4075i −1.22169 1.27061i
\(612\) 1.51734 0.331135i 0.0613348 0.0133853i
\(613\) 11.8801 + 44.3370i 0.479831 + 1.79075i 0.602286 + 0.798280i \(0.294257\pi\)
−0.122455 + 0.992474i \(0.539077\pi\)
\(614\) −1.29488 0.747599i −0.0522571 0.0301706i
\(615\) −2.08914 + 13.4259i −0.0842422 + 0.541386i
\(616\) −3.42031 + 3.42031i −0.137808 + 0.137808i
\(617\) −11.9499 + 44.5976i −0.481084 + 1.79543i 0.115996 + 0.993250i \(0.462994\pi\)
−0.597081 + 0.802181i \(0.703673\pi\)
\(618\) 18.6864 13.6541i 0.751679 0.549249i
\(619\) 27.7189 + 27.7189i 1.11412 + 1.11412i 0.992588 + 0.121530i \(0.0387802\pi\)
0.121530 + 0.992588i \(0.461220\pi\)
\(620\) 5.89947 3.40606i 0.236928 0.136791i
\(621\) −22.0258 + 14.5599i −0.883863 + 0.584269i
\(622\) −6.11184 + 1.63766i −0.245062 + 0.0656643i
\(623\) −2.77347 −0.111117
\(624\) −1.08111 + 6.15071i −0.0432792 + 0.246225i
\(625\) −6.28943 −0.251577
\(626\) −25.8413 + 6.92415i −1.03283 + 0.276745i
\(627\) −44.5110 + 17.2249i −1.77760 + 0.687895i
\(628\) −14.1196 + 8.15196i −0.563434 + 0.325299i
\(629\) 3.73772 + 3.73772i 0.149033 + 0.149033i
\(630\) −0.164928 + 3.51145i −0.00657090 + 0.139900i
\(631\) 10.3812 38.7430i 0.413267 1.54233i −0.375014 0.927019i \(-0.622362\pi\)
0.788281 0.615315i \(-0.210971\pi\)
\(632\) 1.79103 1.79103i 0.0712432 0.0712432i
\(633\) −17.4305 2.71227i −0.692800 0.107803i
\(634\) 16.6761 + 9.62793i 0.662291 + 0.382374i
\(635\) 1.34485 + 5.01906i 0.0533689 + 0.199175i
\(636\) 10.3500 12.8523i 0.410405 0.509628i
\(637\) −1.86371 + 3.08652i −0.0738428 + 0.122292i
\(638\) 10.2605i 0.406215i
\(639\) 2.59163 + 5.01885i 0.102523 + 0.198542i
\(640\) 0.585888 1.01479i 0.0231592 0.0401130i
\(641\) 24.9443 + 43.2048i 0.985241 + 1.70649i 0.640863 + 0.767656i \(0.278577\pi\)
0.344378 + 0.938831i \(0.388090\pi\)
\(642\) 0.278071 + 2.57837i 0.0109746 + 0.101760i
\(643\) 14.2810 + 3.82658i 0.563188 + 0.150906i 0.529171 0.848515i \(-0.322503\pi\)
0.0340174 + 0.999421i \(0.489170\pi\)
\(644\) 4.90814 + 1.31513i 0.193408 + 0.0518235i
\(645\) 0.0637986 + 0.591561i 0.00251207 + 0.0232927i
\(646\) −1.47457 2.55402i −0.0580160 0.100487i
\(647\) 9.53941 16.5227i 0.375033 0.649576i −0.615299 0.788294i \(-0.710965\pi\)
0.990332 + 0.138718i \(0.0442981\pi\)
\(648\) −5.73945 6.93244i −0.225467 0.272332i
\(649\) 7.69926i 0.302222i
\(650\) −12.6955 + 3.13606i −0.497960 + 0.123006i
\(651\) −6.31555 + 7.84247i −0.247526 + 0.307371i
\(652\) 0.906537 + 3.38324i 0.0355027 + 0.132498i
\(653\) 3.37449 + 1.94826i 0.132054 + 0.0762415i 0.564572 0.825384i \(-0.309041\pi\)
−0.432518 + 0.901625i \(0.642375\pi\)
\(654\) 22.6393 + 3.52278i 0.885265 + 0.137751i
\(655\) 11.8426 11.8426i 0.462728 0.462728i
\(656\) −1.73273 + 6.46664i −0.0676518 + 0.252480i
\(657\) −19.8501 0.932331i −0.774425 0.0363737i
\(658\) −8.54481 8.54481i −0.333111 0.333111i
\(659\) 3.30124 1.90597i 0.128598 0.0742462i −0.434321 0.900758i \(-0.643012\pi\)
0.562919 + 0.826512i \(0.309678\pi\)
\(660\) −9.15551 + 3.54300i −0.356378 + 0.137911i
\(661\) −22.9665 + 6.15385i −0.893292 + 0.239357i −0.676133 0.736779i \(-0.736346\pi\)
−0.217159 + 0.976136i \(0.569679\pi\)
\(662\) −9.35287 −0.363510
\(663\) 2.47769 + 2.07675i 0.0962256 + 0.0806544i
\(664\) 16.5766 0.643298
\(665\) 6.44789 1.72771i 0.250038 0.0669976i
\(666\) 9.30767 29.1839i 0.360665 1.13085i
\(667\) −9.33449 + 5.38927i −0.361433 + 0.208673i
\(668\) 10.6265 + 10.6265i 0.411151 + 0.411151i
\(669\) 2.74947 2.00902i 0.106301 0.0776734i
\(670\) −3.50586 + 13.0840i −0.135443 + 0.505480i
\(671\) 40.3847 40.3847i 1.55903 1.55903i
\(672\) −0.266310 + 1.71146i −0.0102732 + 0.0660208i
\(673\) 4.61841 + 2.66644i 0.178027 + 0.102784i 0.586365 0.810047i \(-0.300558\pi\)
−0.408339 + 0.912831i \(0.633892\pi\)
\(674\) 1.15886 + 4.32492i 0.0446375 + 0.166590i
\(675\) 8.41903 16.8611i 0.324049 0.648985i
\(676\) −11.5047 + 6.05318i −0.442490 + 0.232815i
\(677\) 17.4542i 0.670819i 0.942072 + 0.335410i \(0.108875\pi\)
−0.942072 + 0.335410i \(0.891125\pi\)
\(678\) −27.1655 12.0067i −1.04329 0.461114i
\(679\) 2.04586 3.54353i 0.0785127 0.135988i
\(680\) −0.303304 0.525339i −0.0116312 0.0201458i
\(681\) 8.80140 0.949212i 0.337270 0.0363739i
\(682\) −27.1620 7.27804i −1.04009 0.278690i
\(683\) 14.4342 + 3.86763i 0.552309 + 0.147991i 0.524170 0.851613i \(-0.324375\pi\)
0.0281382 + 0.999604i \(0.491042\pi\)
\(684\) −9.23016 + 14.3835i −0.352924 + 0.549965i
\(685\) 5.62597 + 9.74447i 0.214957 + 0.372317i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) 2.37688 5.37779i 0.0906838 0.205175i
\(688\) 0.293161i 0.0111766i
\(689\) 34.3444 + 0.674152i 1.30842 + 0.0256831i
\(690\) 8.03216 + 6.46831i 0.305779 + 0.246245i
\(691\) −9.50395 35.4692i −0.361547 1.34931i −0.872042 0.489432i \(-0.837204\pi\)
0.510494 0.859881i \(-0.329462\pi\)
\(692\) −3.70764 2.14061i −0.140943 0.0813738i
\(693\) 10.7310 9.76821i 0.407638 0.371064i
\(694\) −15.5534 + 15.5534i −0.590398 + 0.590398i
\(695\) 4.73848 17.6842i 0.179741 0.670801i
\(696\) −2.16762 2.96651i −0.0821634 0.112445i
\(697\) 2.45067 + 2.45067i 0.0928256 + 0.0928256i
\(698\) 30.6176 17.6771i 1.15889 0.669086i
\(699\) 5.34394 + 13.8094i 0.202126 + 0.522318i
\(700\) −3.50336 + 0.938722i −0.132414 + 0.0354804i
\(701\) −12.1730 −0.459768 −0.229884 0.973218i \(-0.573835\pi\)
−0.229884 + 0.973218i \(0.573835\pi\)
\(702\) 4.10549 18.2796i 0.154952 0.689920i
\(703\) −58.1684 −2.19386
\(704\) −4.67223 + 1.25192i −0.176091 + 0.0471835i
\(705\) −8.85133 22.8728i −0.333360 0.861441i
\(706\) 2.63752 1.52277i 0.0992644 0.0573104i
\(707\) −2.57055 2.57055i −0.0966753 0.0966753i
\(708\) −1.62654 2.22602i −0.0611292 0.0836589i
\(709\) −4.31325 + 16.0973i −0.161987 + 0.604545i 0.836418 + 0.548092i \(0.184646\pi\)
−0.998405 + 0.0564528i \(0.982021\pi\)
\(710\) 1.56005 1.56005i 0.0585478 0.0585478i
\(711\) −5.61925 + 5.11508i −0.210738 + 0.191830i
\(712\) −2.40190 1.38673i −0.0900148 0.0519701i
\(713\) 7.64553 + 28.5335i 0.286327 + 1.06859i
\(714\) 0.698360 + 0.562390i 0.0261354 + 0.0210469i
\(715\) −17.4942 10.5634i −0.654244 0.395047i
\(716\) 10.6618i 0.398452i
\(717\) 19.8791 44.9772i 0.742398 1.67970i
\(718\) 6.15101 10.6539i 0.229554 0.397599i
\(719\) 3.40817 + 5.90313i 0.127103 + 0.220150i 0.922553 0.385870i \(-0.126099\pi\)
−0.795450 + 0.606020i \(0.792765\pi\)
\(720\) −1.89856 + 2.95854i −0.0707551 + 0.110258i
\(721\) 12.9066 + 3.45830i 0.480666 + 0.128794i
\(722\) 12.9949 + 3.48198i 0.483620 + 0.129586i
\(723\) 38.3021 4.13080i 1.42447 0.153626i
\(724\) 6.86168 + 11.8848i 0.255013 + 0.441695i
\(725\) 3.84678 6.66282i 0.142866 0.247451i
\(726\) 19.6395 + 8.68029i 0.728889 + 0.322156i
\(727\) 31.4461i 1.16627i −0.812375 0.583135i \(-0.801826\pi\)
0.812375 0.583135i \(-0.198174\pi\)
\(728\) −3.15728 + 1.74115i −0.117017 + 0.0645312i
\(729\) 16.2236 + 21.5823i 0.600875 + 0.799343i
\(730\) 2.00891 + 7.49734i 0.0743530 + 0.277489i
\(731\) 0.131432 + 0.0758822i 0.00486118 + 0.00280661i
\(732\) 3.14442 20.2077i 0.116221 0.746899i
\(733\) −3.85594 + 3.85594i −0.142422 + 0.142422i −0.774723 0.632301i \(-0.782111\pi\)
0.632301 + 0.774723i \(0.282111\pi\)
\(734\) 4.06624 15.1754i 0.150088 0.560135i
\(735\) −1.63872 + 1.19740i −0.0604450 + 0.0441669i
\(736\) 3.59301 + 3.59301i 0.132440 + 0.132440i
\(737\) 48.4244 27.9578i 1.78374 1.02984i
\(738\) 6.10265 19.1347i 0.224642 0.704357i
\(739\) 4.86945 1.30477i 0.179126 0.0479966i −0.168141 0.985763i \(-0.553776\pi\)
0.347267 + 0.937766i \(0.387110\pi\)
\(740\) −11.9647 −0.439831
\(741\) −35.4393 + 3.11981i −1.30190 + 0.114609i
\(742\) 9.52725 0.349756
\(743\) −17.4562 + 4.67738i −0.640407 + 0.171597i −0.564388 0.825510i \(-0.690888\pi\)
−0.0760193 + 0.997106i \(0.524221\pi\)
\(744\) −9.39066 + 3.63400i −0.344278 + 0.133229i
\(745\) 6.64573 3.83691i 0.243481 0.140574i
\(746\) −1.49380 1.49380i −0.0546918 0.0546918i
\(747\) −49.6752 2.33318i −1.81752 0.0853664i
\(748\) −0.648098 + 2.41873i −0.0236968 + 0.0884377i
\(749\) −1.05872 + 1.05872i −0.0386847 + 0.0386847i
\(750\) −17.3008 2.69209i −0.631737 0.0983012i
\(751\) −39.0894 22.5683i −1.42639 0.823528i −0.429559 0.903039i \(-0.641331\pi\)
−0.996834 + 0.0795108i \(0.974664\pi\)
\(752\) −3.12762 11.6724i −0.114053 0.425650i
\(753\) −17.7172 + 22.0007i −0.645650 + 0.801749i
\(754\) 2.12410 7.34731i 0.0773551 0.267573i
\(755\) 26.0085i 0.946545i
\(756\) 1.03894 5.09123i 0.0377859 0.185166i
\(757\) −21.5477 + 37.3217i −0.783164 + 1.35648i 0.146925 + 0.989148i \(0.453062\pi\)
−0.930090 + 0.367333i \(0.880271\pi\)
\(758\) −17.1930 29.7792i −0.624478 1.08163i
\(759\) −4.56472 42.3256i −0.165689 1.53632i
\(760\) 6.44789 + 1.72771i 0.233890 + 0.0626705i
\(761\) −36.4729 9.77289i −1.32214 0.354267i −0.472363 0.881404i \(-0.656599\pi\)
−0.849780 + 0.527137i \(0.823265\pi\)
\(762\) −0.823560 7.63631i −0.0298344 0.276634i
\(763\) 6.61404 + 11.4559i 0.239444 + 0.414730i
\(764\) −9.09873 + 15.7595i −0.329181 + 0.570157i
\(765\) 0.834969 + 1.61697i 0.0301884 + 0.0584617i
\(766\) 27.8236i 1.00531i
\(767\) 1.59389 5.51329i 0.0575519 0.199073i
\(768\) −1.08636 + 1.34901i −0.0392006 + 0.0486781i
\(769\) −7.35795 27.4602i −0.265335 0.990242i −0.962045 0.272890i \(-0.912021\pi\)
0.696711 0.717352i \(-0.254646\pi\)
\(770\) −4.90857 2.83396i −0.176893 0.102129i
\(771\) −5.12691 0.797771i −0.184641 0.0287310i
\(772\) −0.610626 + 0.610626i −0.0219769 + 0.0219769i
\(773\) 2.26818 8.46496i 0.0815808 0.304464i −0.913064 0.407816i \(-0.866290\pi\)
0.994645 + 0.103353i